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Finding the Third Proportional to 45,339 and 97,965

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Solution

The third proportional to 45,339 and 97,965 is: 211,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,339 : 97,965 = 97,965 : x
  2. Step 2: Convert to fraction form
    45,339/97,965 = 97,965/x
  3. Step 3: Cross multiply
    45,339x = 97,965 × 97,965
  4. Step 4: Simplify right side
    45,339x = 9,597,141,225
  5. Step 5: Solve for x
    x = 9,597,141,225/45,339
  6. Step 6: Final answer
    x = 211,675.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.